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20213011314113 is a prime number
BaseRepresentation
bin1001001100010001101010…
…10110111111010111000001
32122120100022111211102122212
410212020311112333113001
510122132221344022423
6110553421301511505
74154225156225162
oct446106526772701
978510274742585
1020213011314113
116493320a310a2
122325500712595
13b38104136637
144dc45a3b1769
15250bc0744578
hex1262355bf5c1

20213011314113 has 2 divisors, whose sum is σ = 20213011314114. Its totient is φ = 20213011314112.

The previous prime is 20213011314109. The next prime is 20213011314127. The reversal of 20213011314113 is 31141311031202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14616460629904 + 5596550684209 = 3823148^2 + 2365703^2 .

It is a cyclic number.

It is not a de Polignac number, because 20213011314113 - 22 = 20213011314109 is a prime.

It is not a weakly prime, because it can be changed into another prime (20213011310113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10106505657056 + 10106505657057.

It is an arithmetic number, because the mean of its divisors is an integer number (10106505657057).

Almost surely, 220213011314113 is an apocalyptic number.

It is an amenable number.

20213011314113 is a deficient number, since it is larger than the sum of its proper divisors (1).

20213011314113 is an equidigital number, since it uses as much as digits as its factorization.

20213011314113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 20213011314113 its reverse (31141311031202), we get a palindrome (51354322345315).

The spelling of 20213011314113 in words is "twenty trillion, two hundred thirteen billion, eleven million, three hundred fourteen thousand, one hundred thirteen".